MAXIMAL SUBSEMIGROUPS OF INFINITE SYMMETRIC GROUPS
Suzana Mendes-Gonçalves, Robert Patrick Sullivan · Bulletin of the Australian Mathematical Society · 2024
Abstract Brazilet al. [‘Maximal subgroups of infinite symmetric groups’,Proc. Lond. Math. Soc. (3)68(1) (1994), 77–111] provided a new family of maximal subgroups of the symmetric group $G(X)$ defined on an infinite setX. It is easy to see that, in this case, $G(X)$ contains subsemigroups that are not groups, but nothing is known about nongroup maximal subsemigroups of $G(X)$ . We provide infinitely many examples of such semigroups.